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Finding the Fourth Proportional to 3,756.17, 5,634.88 and 1,290.40

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Solution

The fourth proportional to 3,756.17, 5,634.88 and 1,290.40 is: 1,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.17 : 5,634.88 = 1,290.40 : x
  2. Step 2: Convert to fraction form
    3,756.17/5,634.88 = 1,290.40/x
  3. Step 3: Cross multiply
    3,756.17x = 5,634.88 × 1,290.40
  4. Step 4: Simplify right side
    3,756.17x = 7,271,231.84
  5. Step 5: Solve for x
    x = 7,271,231.84/3,756.17
  6. Step 6: Final answer
    x = 1,935.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.